Australia

Number

• AC9M3N01 Recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000

  • Write numbers in words: up to millions (3-A.10)
  • Roman numerals I, V, X, L, C, D, M (3-A.11)
  • Comparing numbers: up to millions (3-A.13)
  • Which number is largest/smallest? (3-A.14)
  • Put numbers in order: up to millions (3-A.16)
  • Place value models: up to thousands (3-B.1)
  • Place value names: up to millions (3-B.3)
  • Value of a digit: up to millions (3-B.5)
  • Convert to/from a number: up to millions (3-B.7)
  • Convert between place values: up to millions (3-B.9)
  • Convert from expanded form: up to millions (3-B.11)
  • Convert between standard and expanded form: up to millions (3-B.13)
  • Place value word problems: up to millions (3-B.15)

• AC9M3N02 Recognise and represent unit fractions including ½, ⅓, ¼, ⅕ and ¹/₁₀ and their multiples in different ways; combine fractions with the same denominator to complete the whole

  • Understand fractions: fraction bars (3-V.5)
  • Understand fractions: area models (3-V.6)
  • Show fractions: fraction bars (3-V.7)
  • Show fractions: area models (3-V.8)
  • Fraction review (3-V.9)
  • Write fractions using numbers and words (3-V.10)
  • Unit fractions: modelling word problems (3-V.11)
  • Unit fractions: word problems (3-V.12)
  • Fractions of a whole: modelling word problems (3-V.13)
  • Fractions of a whole: word problems (3-V.14)
  • Fractions of number lines: unit fractions (3-V.16)
  • Fractions of number lines (3-V.17)
  • Identify fractions on number lines (3-V.18)
  • Graph unit fractions on number lines (3-V.19)
  • Graph fractions on number lines (3-V.20)

• AC9M3N03 Add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculator

  • Add multiples of 10 (3-C.2)
  • Add two two-digit numbers - without carrying over (3-C.5)
  • Add two two-digit numbers - with carrying over (3-C.6)
  • Use compensation to add - up to two digits (3-C.7)
  • Addition input/output tables - up to two digits (3-C.9)
  • Add three or more numbers up to two digits each (3-C.12)
  • Add multiples of 100 (3-C.14)
  • Add two numbers up to three digits (3-C.15)
  • Use compensation to add - up to three digits (3-C.16)
  • Addition input/output tables - up to three digits (3-C.18)
  • Add three or more numbers up to three digits each (3-C.21)
  • Add numbers up to three digits - fill in the missing digits (3-C.23)
  • Subtract multiples of 10 (3-D.2)
  • Subtract two two-digit numbers - without carrying over (3-D.5)
  • Subtract two two-digit numbers - with carrying over (3-D.6)
  • Use compensation to subtract - up to two digits (3-D.7)
  • Subtraction input/output tables - up to two digits (3-D.9)
  • Subtract multiples of 100 (3-D.12)
  • Subtract numbers up to three digits (3-D.13)
  • Use compensation to subtract - up to three digits (3-D.14)
  • Subtraction input/output tables - up to three digits (3-D.16)
  • Subtract numbers up to three digits - fill in the missing digits (3-D.19)
  • Add and subtract (3-K.9)
  • Fact families (3-L.2)

• AC9M3N04 Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies

  • Count equal groups (3-E.1)
  • Identify multiplication expressions for equal groups (3-E.2)
  • Write multiplication sentences for equal groups (3-E.3)
  • Relate addition and multiplication for equal groups (3-E.4)
  • Identify multiplication expressions for arrays (3-E.5)
  • Write multiplication sentences for arrays (3-E.6)
  • Write two multiplication sentences for an array (3-E.7)
  • Make arrays to model multiplication (3-E.8)
  • Write multiplication sentences for number lines (3-E.9)
  • Multiplication number sentences (3-F.1)
  • Multiplication - facts to 10 (3-F.2)
  • Multiplication facts up to 10 - find the missing factor (3-F.4)
  • Divide by counting equal groups (3-H.1)
  • Write division sentences for groups (3-H.2)
  • Relate multiplication and division for groups (3-H.3)
  • Write division sentences for arrays (3-H.4)
  • Relate multiplication and division for arrays (3-H.5)
  • Division facts to 10 (3-I.2)

• AC9M3N05 Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations

  • Estimate sums (3-M.7)
  • Estimate sums: word problems (3-M.8)
  • Estimate differences (3-M.9)
  • Estimate differences: word problems (3-M.10)

• AC9M3N06 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

  • Addition word problems - up to two digits (3-C.8)
  • Add three or more numbers up to two digits - word problems (3-C.13)
  • Add two numbers up to three digits - word problems (3-C.17)
  • Add three or more numbers up to three digits - word problems (3-C.22)
  • Subtract numbers up to two digits - word problems (3-D.8)
  • Subtract numbers up to three digits - word problems (3-D.15)
  • Multiplication word problems - facts to 10 (3-F.3)
  • Missing factors - facts to 10 - word problems (3-F.5)
  • Division word problems - facts to 10 (3-I.3)
  • Addition and subtraction word problems (3-K.10)
  • Add and subtract data from tables (3-K.12)
  • Addition, subtraction and multiplication word problems (3-K.14)
  • Two-step addition and subtraction word problems (3-K.16)
  • Multi-step word problems (3-K.17)

• AC9M3N07 Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns

  • Input/output tables - write the addition, subtraction or multiplication rule - up to 100 (3-K.15)
  • Use a rule to complete an addition or subtraction pattern (3-O.1)
  • Number patterns (3-O.2)
  • Number patterns - word problems (3-O.3)
  • Complete an increasing number pattern (3-O.4)

Algebra

• AC9M3A01 Recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentences

  • Complete the addition number sentence - up to two digits (3-C.10)
  • Balance addition equations - up to two digits (3-C.11)
  • Complete the addition number sentence - up to three digits (3-C.19)
  • Balance addition equations - up to three digits (3-C.20)
  • Complete the subtraction number sentence - up to two digits (3-D.10)
  • Balance subtraction equations - up to two digits (3-D.11)
  • Complete the subtraction number sentence - up to three digits (3-D.17)
  • Balance subtraction equations - up to three digits (3-D.18)
  • Addition and subtraction facts – balance equations (3-K.3)
  • Fact families (3-L.2)

• AC9M3A02 Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator

  • Add one-digit numbers (3-C.1)
  • Add multiples of 10 (3-C.2)
  • Add multiples of 100 (3-C.14)
  • Addition patterns over increasing place values (3-C.32)
  • Subtraction facts - numbers up to 18 (3-D.1)
  • Subtract multiples of 10 (3-D.2)
  • Subtract multiples of 100 (3-D.12)
  • Subtraction patterns over increasing place values (3-D.23)

• AC9M3A03 Recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts

  • Multiply by 3 (3-G.4)
  • Multiply by 4 (3-G.5)
  • Multiply by 5 (3-G.6)
  • Multiply by 10 (3-G.11)
  • Divide by 3 (3-J.3)
  • Divide by 4 (3-J.4)
  • Divide by 5 (3-J.5)
  • Divide by 10 (3-J.10)

Measurement

• AC9M3M01 Identify which metric units are used to measure everyday items; use measurements of familiar items and known units to make estimates

  • Which metric unit of length is appropriate? (3-S.4)
  • Which metric unit of mass is appropriate? (3-S.7)
  • Which metric unit of volume is appropriate? (3-S.9)

• AC9M3M02 Measure and compare objects using familiar metric units of length, mass and capacity, and instruments with labelled markings

  • Measure using a centimetre ruler (3-S.3)
  • Compare metric units of length (3-S.5)
  • Compare metric units of mass (3-S.8)
  • Compare metric units of volume (3-S.10)
  • Compare metric units (3-S.11)

• AC9M3M03 Recognise and use the relationship between formal units of time including days, hours, minutes and seconds to estimate and compare the duration of events

  • Elapsed time (3-Q.6)
  • Elapsed time word problems (3-Q.7)

• AC9M3M04 Describe the relationship between the hours and minutes on analog and digital clocks, and read the time to the nearest minute

  • Match clocks and times (3-Q.1)
  • Match analogue and digital clocks (3-Q.2)
  • Read clocks and write times (3-Q.3)
  • Write times (3-Q.5)
  • Relate time units - seconds, minutes, hours (3-Q.9)

• AC9M3M05 Identify angles as measures of turn and compare angles with right angles in everyday situations

  • Angles as fractions of a circle (3-T.9)
  • Angles greater than, less than or equal to a right angle (3-T.10)

• AC9M3M06 Recognise the relationships between dollars and cents and represent money values in different ways

  • Count coins and notes - up to $5 note (3-P.1)
  • Equivalent amounts of money - up to $5 (3-P.2)
  • Exchanging coins (3-P.3)
  • Purchases - do you have enough money - up to $10 (3-P.4)
  • Least number of coins (3-P.5)
  • Making change (3-P.6)
  • Which picture shows more? (3-P.7)
  • Inequalities with money (3-P.8)
  • Put money amounts in order (3-P.9)

Space

• AC9M3SP01 Make, compare and classify objects, identifying key features and explaining why these features make them suited to their uses

  • Identify three-dimensional shapes (3-T.3)
  • Count vertices, edges and faces (3-T.4)
  • Identify faces of three-dimensional shapes (3-T.5)
  • Nets of three-dimensional figures (3-T.6)

• AC9M3SP02 Interpret and create two dimensional representations of familiar environments, locating key landmarks and objects relative to each other

  • Objects on a coordinate plane (3-R.1)
  • Coordinate planes as maps (3-R.2)

Statistics

• AC9M3ST01 Acquire data for categorical and discrete numerical variables to address a question of interest or purpose by observing, collecting and accessing data sets; record the data using appropriate methods including frequency tables and spreadsheets

• AC9M3ST02 Create and compare different graphical representations of data sets including using software where appropriate; interpret the data in terms of the context

  • Interpret tally charts (3-R.3)
  • Read a table (3-R.4)
  • Interpret bar graphs (3-R.5)
  • Create bar graphs (3-R.6)
  • Interpret picture graphs I (3-R.7)
  • Interpret picture graphs II (3-R.8)
  • Create picture graphs (3-R.9)

• AC9M3ST03 Conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest

Probability

• AC9M3P01 Identify practical activities and everyday events involving chance; describe possible outcomes and events as 'likely' or 'unlikely' and identify some events as 'certain' or 'impossible' explaining reasoning

  • Certain, probable, unlikely and impossible (3-W.1)

• AC9M3P02 Conduct repeated chance experiments; identify and describe possible outcomes, record the results, recognise and discuss the variation

  • Combinations (3-W.2)